{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-Nearest Neighbor\n",
    "*Complete and hand in this completed worksheet (including its outputs and any supporting code outside of the worksheet) with your assignment submission. Please check the pdf file for more details.*\n",
    "\n",
    "In this exercise you will:\n",
    "    \n",
    "- implement the **K-Nearest Neighbor** algorithm\n",
    "- play with the hyperparameter K \n",
    "- try KNN on **real-world data**, i.e. the CAPTCHA of a website in ZJU\n",
    "\n",
    "Please note that **YOU CANNOT USE ANY MACHINE LEARNING PACKAGE SUCH AS SKLEARN** for any homework, unless you are asked."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# some basic imports\n",
    "import scipy.io as sio\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "# %matplotlib notebook\n",
    "\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### KNN experiment with hyperparameter K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1230: UserWarning: No contour levels were found within the data range.\n",
      "  warnings.warn(\"No contour levels were found\"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mkdata import mkdata\n",
    "from knn_plot import knn_plot\n",
    "\n",
    "[X, y] = mkdata()\n",
    "\n",
    "K = [1, 10, 100]\n",
    "for k in K:\n",
    "    knn_plot(X, y, k)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now Let's hack the website http://jwbinfosys.zju.edu.cn/default2.aspx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hack import hack\n",
    "from extract_image import extract_image\n",
    "from show_image import show_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 7., 0., 3., 8.])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_img = './CheckCode (24).aspx'\n",
    "x = extract_image(test_img)\n",
    "show_image(x)\n",
    "hack(test_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
